An efficient numerical algorithm on irreducible multiparty correlations

TL;DR

This paper introduces an efficient numerical algorithm for calculating irreducible multiparty correlations in quantum states, enabling practical analysis of complex quantum systems up to five qubits.

Contribution

The paper presents a novel, efficient algorithm for computing irreducible multiparty correlations in quantum states, applicable to states with up to five qubits.

Findings

Successfully calculated correlations in 4-qubit GHZ and Smolin states

Analyzed 5-qubit W state correlations

Demonstrated algorithm's efficiency for quantum many-body physics

Abstract

We develop a numerical algorithm to calculate the degrees of irreducible multiparty correlations for an arbitrary multiparty quantum state, which is efficient for any quantum state of up to five qubits. We demonstrate the power of the algorithm by the explicit calculations of the degrees of irreducible multiparty correlations in the 4-qubit GHZ state, the Smolin state, and the 5-qubit W state. This development takes a crucial step towards practical applications of irreducible multiparty correlations in real quantum many-body physics.